Abstract
The effects of deterministic heterogeneities on the front speed of parabolic reaction-diffusion equations were studied. Analytic expressions were derived for the speed of fronts that are valid for initially fully developed fronts or for more general initial conditions. The geometrical method of Hamilton-Jacobi was used along with the singular perturbative analysis to find the speed of the fronts propagating in the deterministic heterogeneous media. The results also show that for nonuniform reaction rate both singular perturbative and Hamilton-Jacobi are in better agreement with numerical results than the local speed approach.
| Original language | English (US) |
|---|---|
| Article number | 041105 |
| Pages (from-to) | 411051-4110511 |
| Number of pages | 3699461 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 68 |
| Issue number | 4 1 |
| State | Published - Oct 2003 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics